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Finding the Fourth Proportional to 4,230.96, 5,838.21 and 2,342.40

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Solution

The fourth proportional to 4,230.96, 5,838.21 and 2,342.40 is: 3,232.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.96 : 5,838.21 = 2,342.40 : x
  2. Step 2: Convert to fraction form
    4,230.96/5,838.21 = 2,342.40/x
  3. Step 3: Cross multiply
    4,230.96x = 5,838.21 × 2,342.40
  4. Step 4: Simplify right side
    4,230.96x = 13,675,423.10
  5. Step 5: Solve for x
    x = 13,675,423.10/4,230.96
  6. Step 6: Final answer
    x = 3,232.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.